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arXiv · 1811.06108

Interpolative Fusions I

Alex Kruckman·Minh Chieu Tran·Erik Walsberg
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Abstract

We define the interpolative fusion $T^*_\cup$ of a family $(T_i)_{i \in I}$ of first-order theories over a common reduct $T_\cap$, a notion that generalizes many examples of random or generic structures in the model-theoretic literature. When each $T_i$ is model-complete, $T^*_\cup$ coincides with the model companion of $T_\cup = \bigcup_{i \in I} T_i$. By obtaining sufficient conditions for the existence of $T^*_\cup$, we develop new tools to show that theories of interest have model companions.

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Alex Kruckman, Minh Chieu Tran, Erik Walsberg. 2018-11-14. Interpolative Fusions I. https://doi.org/10.1142/s0219061321500100

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